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In order to estimate the average time high school students are currently spending on social media,...

In order to estimate the average time high school students are currently spending on social media, data were collected from a sample of 81 students over a one-week period. Based on prior studies, the population standard deviation can be assumed to be 1.2 hours.

If the sample mean is 9 hours, then the 95% confidence interval is approximately _____.

Select one:

a. 8.74 to 9.26 hours

b. 7.04 to 110.96 hours

c. 7.36 to 10.64 hours

d. 7.80 to 10.20 hours

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

Sample size = n = 81

Z/2 = 1.96

Margin of error = E = Z/2* ( /n)

= 1.96 * (1.2 / 81)

Margin of error = E = 0.26

At 95% confidence interval estimate of the population mean is,

- E < < + E

9 - 0.26 < < 9 + 0.26

8.74 < < 9.26

8.74 to 9.26 hours

option a. is correct

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